Question

If PQR ~= STU, which statement must be true?CORRECT ANSWER WAS A.

Answer 1

Answer: PQ ≅ ST

Step-by-step explanation:

When two triangles are congruent then by CPCTC,

their corresponding parts ( angles and sides )  must be congruent.

In triangles PQR and STU,

Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,

Also, angles P, Q and R are corresponding to angles S, T and U respectively.

Here, Δ PQR ≅ Δ STU,

Thus, by the above property,

PQ ≅ ST, QR ≅ TU and RP ≅ US,

∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U

⇒ First option is correct.

Answer 2

A is correct because Side PQ of one triangle corresponds to side ST of the other triangle since are located at the same spot.